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arXiv · gr-qc/9208010

Massive Analogue of Ashtekar-CJD Action

K. Kamimura·T. Fukuyama
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Abstract

The action of Ashtekar gravity have been found by Cappovilla, Jacobson and Dell. It does not depend on the metric nor the signature of the space-time. The action has a similar structure as that of a massless relativistic particle. The former is naturally generalized by adding a term analogous to a mass term of the relativistic particle. The new action possesses a constant parameter regarded as a kind of a cosmological constant. It is interesting to find a covariant Einstein equation from the action. In order to do it we will examine how the geometrical quantities are determined from the non-metric action and how the Einstein equation follows from it.

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K. Kamimura, T. Fukuyama. 1992-08-25. Massive Analogue of Ashtekar-CJD Action. https://doi.org/10.1016/0083-6656(93)90105-s

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